The Domain of the Vector Function $\mathbf { v } ( t ) = 5 t ^ { 2 } \mathbf { i } - \ln ( 3 t - 4 ) \mathbf { j } + \sin t \mathbf { k }$

Multiple Choice

The domain of the vector function $\mathbf { v } ( t ) = 5 t ^ { 2 } \mathbf { i } - \ln ( 3 t - 4 ) \mathbf { j } + \sin t \mathbf { k }$ is

A) $\left( - \frac { 4 } { 3 } , \infty \right)$
B) $\left( \frac { 4 } { 3 } , \infty \right)$
C) $\left( - \frac { 4 } { 3 } , \frac { 4 } { 3 } \right)$
D) $\left( - \infty , \frac { 4 } { 3 } \right)$
E) $( - \infty , \infty )$